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International Conference on Modeling Decisions for Artificial Intelligence

MDAI 2010: Modeling Decisions for Artificial Intelligence pp 67–78Cite as

Aggregation of Bounded Fuzzy Natural Number-Valued Multisets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6408))

Abstract

Multisets (also called bags) are like-structures where an element can appear more than once. Recently, several generalizations of this concept have been studied. In this article we deal with a new extension of this concept, the bounded fuzzy natural number-valued multisets. On this kind of bags, a bounded distributive lattice structure is presented and a partial order is defined. Moreover, we study operations of aggregations (t-norms and t-conorms) and we provide two methods for their construction.

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Author information

Authors and Affiliations

  1. University of Balearic Islands, Palma de Mallorca, E 07122, Spain

    Jaume Casasnovas & J. Vicente Riera

Authors
  1. Jaume Casasnovas
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  2. J. Vicente Riera
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Campus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10 Naka, Kunitachi, 186-0004, Tokyo, Japan

    Yasuo Narukawa

  3. Université de Perpignan, Tecnosud, Rambla de la thermodynamique, 66100, Perpignan, France

    Marc Daumas

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Casasnovas, J., Vicente Riera, J. (2010). Aggregation of Bounded Fuzzy Natural Number-Valued Multisets. In: Torra, V., Narukawa, Y., Daumas, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2010. Lecture Notes in Computer Science(), vol 6408. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16292-3_9

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  • DOI: https://doi.org/10.1007/978-3-642-16292-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16291-6

  • Online ISBN: 978-3-642-16292-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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